Let Obe the origin, and OXxOY,OZbe three unit vectors in the direction of the sides QR, RP, PQ, respectively of a triangle PQR.If the triangle PQR varies, then the minimum value of cos(P+Q)+cos(Q+R)+cos(R+P)is:−23 (b) 35 (c) 23 (d) −35
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Find a vector of magnitude 5 units, and parallel to the resultant of the vectors a=2i^+3j^−k^ and b=i^−2j^+k^.
If a=5i^−j^−3k^and b=i^+3j^−5k^then show that the vectors a+band a−bare perpendicular.
Find the values of x, y and z so that the vectors a=xi^+2j^+zk^and b=2i^+yj^+k^are equal.
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